On deductive varieties of locally convex spaces

Sergej M. Berger

Commentationes Mathematicae Universitatis Carolinae (1988)

  • Volume: 029, Issue: 3, page 465-475
  • ISSN: 0010-2628

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Berger, Sergej M.. "On deductive varieties of locally convex spaces." Commentationes Mathematicae Universitatis Carolinae 029.3 (1988): 465-475. <http://eudml.org/doc/17659>.

@article{Berger1988,
author = {Berger, Sergej M.},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {variety of locally convex spaces; subprevarieties; subvariety; deductive variety; prevariety; reflector; projective objects; topos theory},
language = {eng},
number = {3},
pages = {465-475},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {On deductive varieties of locally convex spaces},
url = {http://eudml.org/doc/17659},
volume = {029},
year = {1988},
}

TY - JOUR
AU - Berger, Sergej M.
TI - On deductive varieties of locally convex spaces
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1988
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 029
IS - 3
SP - 465
EP - 475
LA - eng
KW - variety of locally convex spaces; subprevarieties; subvariety; deductive variety; prevariety; reflector; projective objects; topos theory
UR - http://eudml.org/doc/17659
ER -

References

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  2. J. DIESTIEL S. A. MORRIS S. A. SAXON, Varieties of linear topological spaces, ibid. 172 (1972), 207-230. (1972) MR0316992
  3. S. MACLANE, Categories for the working mathematician, Springer-Verlag, N.Y., 1971. (1971) MR0354798
  4. H. J. JUNEK, Über lokalkonvexe Räume und Operatorenideale, Math. Nachr. 71 (1976), 7-22. (1976) Zbl0295.46100MR0402447
  5. V. A. GEĬLER, O proektivnykh ob"ektakh v kategoriyakh lokal'no vypuklykh prostranstv, Funkc. analiz i prilozh. 6 (1972), No 2, 79-80. (1972) MR0295027
  6. N. BURBAKI, Topologieheskie prostranstva, Moskva, "IL", 1959. (1959) 
  7. S. M. BERGER, O proektivnykh ob"ektakh v kategoriyakh LVP, Matematicheskie zametki 39 (1986), No 1, 113-120. (1986) MR0830848
  8. V. A. GEĬLER V. B. GISIN, Obobshchënnaya dyoĭstvennost'dlya LVP, Funkcional'nyĭi analiz 11 (1978), Ul'yanovsk, 41-50. (1978) 
  9. S. A. MORRIS, Just-non-singly generated varieties of locally convex spaces, Colloq. Math. 29 (1974), 151-153. (1974) Zbl0285.46004MR0336273
  10. S. A. MORRIS, Varieties of topological groups. A survey, ibid. 46 (1982), 147-165. (1982) Zbl0501.22002MR0678128
  11. S. DIEROLF, Über assoziierte lineare und lokalkonvexe Topologien, Manuscr. Math. 16 (1975), 27-46. (1975) Zbl0317.46005MR0415351
  12. H. HERRLICH G. STRECKER, Category theory, Boston, Allyn and Bacon. 1973. (1973) MR0349791
  13. J. FLOOD, Free locally convex spaces, Dissert. Math. CCXXI, 1984 Warzawa, PWN. (1984) 
  14. J. VILÍMOVSKÝ, Locally convex spaces not containing normed-like subspaces, "Categorical Topology. Proc. Int. Conf., Toledo, Ohio, Aug. 1-5, 1983", Berlin, 1984, 588-598. (1983) MR0785038

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